19 citations · 81 across the 40 of their papers we have counts for
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math.OC2018★ 1 cited
Necessary Conditions for Stochastic Optimal Control Problems in Infinite Dimensions
Hélène Frankowska, Xu Zhang
The purpose of this paper is to establish the first and second order necessary conditions for stochastic optimal controls in infinite dimensions. The control system is governed by…
math.OC2018★ 3 cited
Second Order Optimality Conditions for Optimal Control Problems of Stochastic Evolution Equations
Qi Lu, Haisen Zhang, Xu Zhang
In this paper, we establish some second order necessary/sufficient optimality conditions for optimal control problems of stochastic evolution equations in infinite dimensions. The…
math.OC2018
Finite Codimensional Controllability, and Optimal Control Problems with Endpoint State Constraints
Xu Liu, Qi Lü, Xu Zhang
In this paper, motivated by the study of optimal control problems for infinite dimensional systems with endpoint state constraints, we introduce the notion of finite codimensional…